Lorentz violation, Gravitoelectromagnetism and Bhabha Scattering at finite temperature

TL;DR

This paper investigates how Lorentz violation affects Bhabha scattering within the Gravitoelectromagnetism framework at finite temperature, using Thermo Field Dynamics, and finds the Lorentz violation contribution to be small.

Contribution

It introduces a non-minimal Lorentz-violating coupling in covariant Gravitoelectromagnetism and calculates its effect on Bhabha scattering at finite temperature.

Findings

Lorentz violation contribution is small in magnitude.

Finite temperature effects are incorporated using Thermo Field Dynamics.

The study extends GEM to include Lorentz violation in a thermal context.

Abstract

Gravitoelectromagnetism (GEM) is an approach for the gravitation field that is described using the formulation and terminology similar to that of electromagnetism. The Lorentz violation is considered in the formulation of GEM that is covariant in its form. In practice such a small violation of the Lorentz symmetry may be expected in a unified theory at very high energy. In this paper a non-minimal coupling term, which exhibits Lorentz violation, is added as a new term in the covariant form. The differential cross section for Bhabha scattering in the GEM framework at finite temperature is calculated that includes Lorentz violation. The Thermo Field Dynamics (TFD) formalism is used to calculate the total differential cross section at finite temperature. The contribution due to Lorentz violation is isolated from the total cross section. It is found to be small in magnitude.